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Finding the Third Proportional to 3,117.09 and 6,791.91

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Solution

The third proportional to 3,117.09 and 6,791.91 is: 14,799.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.09 : 6,791.91 = 6,791.91 : x
  2. Step 2: Convert to fraction form
    3,117.09/6,791.91 = 6,791.91/x
  3. Step 3: Cross multiply
    3,117.09x = 6,791.91 × 6,791.91
  4. Step 4: Simplify right side
    3,117.09x = 46,129,990.51
  5. Step 5: Solve for x
    x = 46,129,990.51/3,117.09
  6. Step 6: Final answer
    x = 14,799.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.